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4102242324114 = 23112329691134857
BaseRepresentation
bin111011101100100000101…
…100100100111010010010
3112112011121022122220121010
4323230200230210322102
51014202343013332424
612420313305511350
7602243250265524
oct73544054447222
915464538586533
104102242324114
111341829934aa0
125630607a2556
13239abc03817c
1410279a0d7a14
1571a96ec2229
hex3bb20b24e92

4102242324114 has 128 divisors (see below), whose sum is σ = 9675597588480. Its totient is φ = 1146383884800.

The previous prime is 4102242324107. The next prime is 4102242324139. The reversal of 4102242324114 is 4114232422014.

It is a super-3 number, since 3×41022423241143 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30351774 + ... + 30486630.

It is an arithmetic number, because the mean of its divisors is an integer number (75590606160).

Almost surely, 24102242324114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102242324114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837798794240).

4102242324114 is an abundant number, since it is smaller than the sum of its proper divisors (5573355264366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4102242324114 is a wasteful number, since it uses less digits than its factorization.

4102242324114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135616.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4102242324114 its reverse (4114232422014), we get a palindrome (8216474746128).

The spelling of 4102242324114 in words is "four trillion, one hundred two billion, two hundred forty-two million, three hundred twenty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 23 29 33 46 58 66 69 87 138 174 253 319 506 638 667 691 759 957 1334 1382 1518 1914 2001 2073 4002 4146 7337 7601 14674 15202 15893 20039 22011 22803 31786 40078 44022 45606 47679 60117 95358 120234 134857 174823 220429 269714 349646 404571 440858 460897 524469 661287 809142 921794 1048938 1322574 1382691 1483427 2765382 2966854 3101711 3910853 4450281 5069867 6203422 7821706 8900562 9305133 10139734 11732559 15209601 18610266 23465118 30419202 34118821 43019383 68237642 86038766 89949619 93186187 102356463 129058149 179899238 186372374 204712926 258116298 269848857 279558561 539697714 559117122 989445809 1025048057 1978891618 2050096114 2143282301 2702399423 2968337427 3075144171 4286564602 5404798846 5936674854 6150288342 6429846903 8107198269 12859693806 16214396538 23576105311 29726393653 47152210622 59452787306 62155186729 70728315933 89179180959 124310373458 141456631866 178358361918 186465560187 372931120374 683707054019 1367414108038 2051121162057 4102242324114